2x-3 = 9-4x
2x+4x = 9+3
6x = 12
x=2
We do the midpoint formula to find the center of the circle to get the left side of the equation.
Midpoint = [(X₁ + X₂) / 2 , (Y₁ + Y₂) / 2]
Now plug in:
[(8 + 4) / 2 , (- 6 - 2) / 2]
(12 / 2 , - 8 / 2)
(6, - 4)
The center of the circle is (6, -4)
Now we plug it into the equation of a circle:
(x - h)² + (y - k)² = r² where (h, k) is the center of the circle and r is the radius.
(x - 6)² + (y + 4)² = r² is the left side of the equation. This will eliminate options A and C
Now we do the distance formula using the center and an endpoint to get the radius. The formula for distance is:
√((X₂ - X₁)² + (Y₂ - Y₁)²)
We plug in using either of the endpoints.
√((4 - 6)² + (- 2 - (- 4))²)
√((-2)² + 2²)
√(4 + 4)
√8
√8 is your radius
(√8)² = 8
Your correct answer is (x - 6)² + (y + 4)² = 8, Option D
Answer:
A=45 square inches
Step-by-step explanation:
First find the height using Trig
Tan(45)=x/6
x=6tan(45)
x=6
Then area of a parallellogram is base x height so
A=7.5 x 6
A=45 square inches
Answer: Discounted function will be
Step-by-step explanation:
Since we have given that
Initial cost of solar energy = $9000
Average annual cost of heating a home with solar energy = $200
Rate of discount he received on the total cost = 25%
Let the number of year will be t
According to question, we need to write a discounted cost as a function of number of years.
So, our function becomes,
Hence, discounted function will be
Answer:
The solution set we get is(x,y){(6/4 , 6)}....
Step-by-step explanation:
We have the system of equation:
y = 4x equation 1
8x + y= 18 equation 2
As we see that the first equation has a value of y. Now plug the value of y which is 4x in 2nd equation:
8x+y=18
8x+(4x)=18
12x=18
Divide both sides by 12.
12x/12= 18/12
x= 18/12
x= 6/4
Now plug the value x= 6/4 in equation 1.
y=4x
y=4(6/4)
4 will be cancelled out by 4
y = 6
The solution set we get is(x,y){(6/4 , 6)}....
